{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"![\"Open](\"https://colab.research.google.com/assets/colab-badge.svg\")
"
]
},
{
"cell_type": "markdown",
"source": [
"Проведём импорт необходимых библиотек и файлов:"
],
"metadata": {
"id": "_N7IKF3-BEQO"
}
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "9zBy8VytupiP",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "1e7eaf48-f3f8-4231-a118-cc5b880eb3cd"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"--2023-05-16 14:27:42-- https://github.com/AllenDowney/ThinkDSP/raw/master/code/thinkdsp.py\n",
"Resolving github.com (github.com)... 140.82.114.3\n",
"Connecting to github.com (github.com)|140.82.114.3|:443... connected.\n",
"HTTP request sent, awaiting response... 302 Found\n",
"Location: https://raw.githubusercontent.com/AllenDowney/ThinkDSP/master/code/thinkdsp.py [following]\n",
"--2023-05-16 14:27:42-- https://raw.githubusercontent.com/AllenDowney/ThinkDSP/master/code/thinkdsp.py\n",
"Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.108.133, 185.199.109.133, 185.199.110.133, ...\n",
"Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.108.133|:443... connected.\n",
"HTTP request sent, awaiting response... 200 OK\n",
"Length: 48687 (48K) [text/plain]\n",
"Saving to: ‘thinkdsp.py’\n",
"\n",
"thinkdsp.py 100%[===================>] 47.55K --.-KB/s in 0.008s \n",
"\n",
"2023-05-16 14:27:42 (6.19 MB/s) - ‘thinkdsp.py’ saved [48687/48687]\n",
"\n"
]
}
],
"source": [
"import os\n",
"\n",
"if not os.path.exists('thinkdsp.py'):\n",
" !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/thinkdsp.py\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from thinkdsp import decorate"
]
},
{
"cell_type": "markdown",
"source": [
"# **Упражнение 6.1**\n",
"\n",
"В этой главе утрверждается, что `analyze1` требует времени пропорционально *n^3*, а `analyze2` - пропорционально *n^2*. Убедитесь в этом, запуская их с несколькими разными массивами и засекая время работы. В блокнотах Jypyter можно использовать \"волшебную команду\" **%timeit**.\n",
"\n",
"Если печатать зависимость времени работы от размера на логарифмической шкале, то получится прямая линия с уклоном 3 для `analyze1` и с уклоном 2 для `analyze2`.\n",
"\n",
"Также стоит поупражняться с `dct_iv` и `scipy.fftpack.dct`."
],
"metadata": {
"id": "tvbSRluF5738"
}
},
{
"cell_type": "code",
"source": [
"from thinkdsp import UncorrelatedGaussianNoise\n",
"\n",
"signal = UncorrelatedGaussianNoise()\n",
"noise = signal.make_wave(duration=1.0, framerate=16384)\n",
"noise.ys.shape"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "PrxIbnZk6Ro2",
"outputId": "b0eb1f08-cd38-460a-ef4a-a5b0f753b671"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(16384,)"
]
},
"metadata": {},
"execution_count": 2
}
]
},
{
"cell_type": "code",
"source": [
"from scipy.stats import linregress\n",
"\n",
"loglog = dict(xscale='log', yscale='log')\n",
"\n",
"def plot_bests(ns, bests): \n",
" plt.plot(ns, bests)\n",
" decorate(**loglog)\n",
" \n",
" x = np.log(ns)\n",
" y = np.log(bests)\n",
" t = linregress(x,y)\n",
" slope = t[0]\n",
"\n",
" return slope"
],
"metadata": {
"id": "UgcgndMZ6kRO"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"def analyze1(ys, fs, ts):\n",
" args = np.outer(ts, fs)\n",
" M = np.cos(np.pi * 2 * args)\n",
" amps = np.linalg.solve(M, ys)\n",
" return amps"
],
"metadata": {
"id": "3quvW8Oo60JJ"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"def run_speed_test(ns, func):\n",
" results = []\n",
" for N in ns:\n",
" print(N)\n",
" ts = (0.5 + np.arange(N)) / N\n",
" freqs = (0.5 + np.arange(N)) / 2\n",
" ys = noise.ys[:N]\n",
" result = %timeit -r1 -o func(ys, freqs, ts)\n",
" results.append(result)\n",
" \n",
" bests = [result.best for result in results]\n",
" return bests"
],
"metadata": {
"id": "_SLka-Xe7CVe"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"ns = 2 ** np.arange(6, 13)\n",
"ns"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "aakYxBCJ7D-Q",
"outputId": "747ff27d-9d28-411b-d350-0c8514c2e714"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([ 64, 128, 256, 512, 1024, 2048, 4096])"
]
},
"metadata": {},
"execution_count": 6
}
]
},
{
"cell_type": "code",
"source": [
"bests = run_speed_test(ns, analyze1)\n",
"plot_bests(ns, bests)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 747
},
"id": "QPLRW8627IUk",
"outputId": "9b631676-a404-4bc4-87aa-b7605e0dd12d"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"64\n",
"653 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1000 loops each)\n",
"128\n",
"894 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1000 loops each)\n",
"256\n",
"3.42 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 100 loops each)\n",
"512\n",
"22.4 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 10 loops each)\n",
"1024\n",
"94.3 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 10 loops each)\n",
"2048\n",
"390 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"4096\n",
"5.17 s ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"2.184799160126125"
]
},
"metadata": {},
"execution_count": 7
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Проанализируем результаты запуска `analyze1`.\n",
"\n",
"Угол наклона близок к 2, а не к 3, как ожидалось. Одна из причин - это производительность `np.linalg.solve` почти квадратичная в этом диапазоне размеров массива."
],
"metadata": {
"id": "oxKGkyp77e4-"
}
},
{
"cell_type": "markdown",
"source": [
"Перейдём к analyze2:"
],
"metadata": {
"id": "Erog_mvjDqNO"
}
},
{
"cell_type": "code",
"source": [
"def analyze2(ys, fs, ts):\n",
" args = np.outer(ts, fs)\n",
" M = np.cos(np.pi * 2 * args)\n",
" amps = np.dot(M, ys) / 2\n",
" return amps"
],
"metadata": {
"id": "jDXszvvs8Gf6"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"bests2 = run_speed_test(ns, analyze2)\n",
"plot_bests(ns, bests2)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 747
},
"id": "HJf3xHGN8Iow",
"outputId": "24ef77e6-dc5d-4d78-fdac-c2045383b38f"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"64\n",
"242 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 10000 loops each)\n",
"128\n",
"1.57 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1000 loops each)\n",
"256\n",
"4.88 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 100 loops each)\n",
"512\n",
"14.4 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 100 loops each)\n",
"1024\n",
"45.4 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 10 loops each)\n",
"2048\n",
"137 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 10 loops each)\n",
"4096\n",
"481 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"1.7490546713506605"
]
},
"metadata": {},
"execution_count": 9
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Проанализируем результаты запуска `analyze2`.\n",
"\n",
"Угол наклона близок к 2, как и ожидалось."
],
"metadata": {
"id": "zC8qjefc8xhh"
}
},
{
"cell_type": "markdown",
"source": [
"Перейдём к `dct_iv` и `scipy.fftpack.dct`:"
],
"metadata": {
"id": "Wi1KVnBFD5zV"
}
},
{
"cell_type": "code",
"source": [
"import scipy.fftpack\n",
"\n",
"def scipy_dct(ys, freqs, ts):\n",
" return scipy.fftpack.dct(ys, type=3)"
],
"metadata": {
"id": "ycHHDBt383NM"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"bests3 = run_speed_test(ns, scipy_dct)\n",
"plot_bests(ns, bests3)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 746
},
"id": "RKoVmRfk8_aL",
"outputId": "08647ff0-48d1-4f2a-d982-7ff50ae1c6bb"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"64\n",
"10.9 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 100000 loops each)\n",
"128\n",
"7.22 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 100000 loops each)\n",
"256\n",
"7.88 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 100000 loops each)\n",
"512\n",
"9.95 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 100000 loops each)\n",
"1024\n",
"13.3 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 100000 loops each)\n",
"2048\n",
"22.4 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 10000 loops each)\n",
"4096\n",
"40.8 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 10000 loops each)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"0.34811292522233345"
]
},
"metadata": {},
"execution_count": 11
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Проанализируем результаты запуска `dct`.\n",
"\n",
"Тут угол наклона нелинейный, больше похож на асимптотическое поведение."
],
"metadata": {
"id": "kNfBtrnK9Nuz"
}
},
{
"cell_type": "markdown",
"source": [
"# **Упражнение 6.2**\n",
"\n",
"Одно из основных применений ДКП - это *сжатие* звука и изображений. В простейшей форме ДКП при сжатии работает следующим образом:\n",
"\n",
"1. Разбивает длинный сигнал на сегменты.\n",
"2. Вычисляет ДКП каждого сегмента.\n",
"3. Определяет частотные компоненты с амплитудой, что их не слышно, и удаляет их, сохраняя только оставшиеся частоты и амплитуды.\n",
"4. При воспроизведении сигнала загружает частоты и амплитуды каждого сегмента и применяет обратное ДКП.\n",
"\n",
"Реализуйте версию алгоритма и примените его для записи музыки или речи. Сколько компонент можно удалить до того, как разница станет заметной?"
],
"metadata": {
"id": "h8PAgWae9fTz"
}
},
{
"cell_type": "markdown",
"source": [
"Используем тот же звук саксофона, который мы использовали в прошлой работе:"
],
"metadata": {
"id": "GeNhDhu7FZu_"
}
},
{
"cell_type": "code",
"source": [
"if not os.path.exists('100475__iluppai__saxophone-weep.wav'):\n",
" !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/100475__iluppai__saxophone-weep.wav"
],
"metadata": {
"id": "eUs8cgMS_HI5",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "37a6f76e-96d9-4789-fc93-02c73756b976"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"--2023-05-16 14:28:34-- https://github.com/AllenDowney/ThinkDSP/raw/master/code/100475__iluppai__saxophone-weep.wav\n",
"Resolving github.com (github.com)... 192.30.255.113\n",
"Connecting to github.com (github.com)|192.30.255.113|:443... connected.\n",
"HTTP request sent, awaiting response... 302 Found\n",
"Location: https://raw.githubusercontent.com/AllenDowney/ThinkDSP/master/code/100475__iluppai__saxophone-weep.wav [following]\n",
"--2023-05-16 14:28:34-- https://raw.githubusercontent.com/AllenDowney/ThinkDSP/master/code/100475__iluppai__saxophone-weep.wav\n",
"Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.108.133, 185.199.109.133, 185.199.110.133, ...\n",
"Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.108.133|:443... connected.\n",
"HTTP request sent, awaiting response... 200 OK\n",
"Length: 2071600 (2.0M) [audio/wav]\n",
"Saving to: ‘100475__iluppai__saxophone-weep.wav’\n",
"\n",
"100475__iluppai__sa 100%[===================>] 1.98M --.-KB/s in 0.04s \n",
"\n",
"2023-05-16 14:28:35 (47.6 MB/s) - ‘100475__iluppai__saxophone-weep.wav’ saved [2071600/2071600]\n",
"\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"from thinkdsp import read_wave\n",
"\n",
"wave = read_wave('100475__iluppai__saxophone-weep.wav')\n",
"wave.make_audio()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 76
},
"id": "ZXplXUTV_Pwf",
"outputId": "85f4a052-3f3b-4b1f-db3a-1b97a1207fa0"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" \n",
" "
]
},
"metadata": {},
"execution_count": 13
}
]
},
{
"cell_type": "code",
"source": [
"segment = wave.segment(start=1.2, duration=0.5)\n",
"segment.normalize()\n",
"segment.make_audio()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 76
},
"id": "AWqLw_0z_Sd7",
"outputId": "5e95434b-43a9-4248-8693-4c0277c2725a"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" \n",
" "
]
},
"metadata": {},
"execution_count": 14
}
]
},
{
"cell_type": "code",
"source": [
"seg_dct = segment.make_dct()\n",
"seg_dct.plot(high=4000)\n",
"decorate(xlabel='Frequency (Hz)', ylabel='DCT')"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 487
},
"id": "JRFrumxB_Xbf",
"outputId": "3f9b632e-f353-497c-9c91-b7ee6e88c59d"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Видим несколько гармоник."
],
"metadata": {
"id": "M3RW8C4o_umc"
}
},
{
"cell_type": "code",
"source": [
"def compress(dct, thresh=1):\n",
" count = 0\n",
" for i, amp in enumerate(dct.amps):\n",
" if np.abs(amp) < thresh:\n",
" dct.hs[i] = 0\n",
" count += 1\n",
" \n",
" n = len(dct.amps)\n",
" print(count, n, 100 * count / n, sep='\\t')"
],
"metadata": {
"id": "hInCGgHp_lvJ"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"seg_dct = segment.make_dct()\n",
"compress(seg_dct, thresh=10)\n",
"seg_dct.plot(high=4000)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 447
},
"id": "xy8nEvYU_1g0",
"outputId": "8bb1f28f-8623-46ca-fa4a-08a55cfbe539"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"20457\t22050\t92.77551020408163\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"seg2 = seg_dct.make_wave()\n",
"seg2.make_audio()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 76
},
"id": "6qRCn8Ua_8Qw",
"outputId": "f2c3ec2b-ab64-4a20-c9f9-bb54a942ccc2"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" \n",
" "
]
},
"metadata": {},
"execution_count": 18
}
]
},
{
"cell_type": "markdown",
"source": [
"Сигналы звучат примерно одинаково как до, так и после сжатия."
],
"metadata": {
"id": "JGI_M2c5_-Fl"
}
},
{
"cell_type": "code",
"source": [
"from thinkdsp import Spectrogram\n",
"\n",
"def make_dct_spectrogram(wave, seg_length):\n",
" window = np.hamming(seg_length)\n",
" i, j = 0, seg_length\n",
" step = seg_length // 2\n",
"\n",
" spec_map = {}\n",
"\n",
" while j < len(wave.ys):\n",
" segment = wave.slice(i, j)\n",
" segment.window(window)\n",
"\n",
" t = (segment.start + segment.end) / 2\n",
" spec_map[t] = segment.make_dct()\n",
"\n",
" i += step\n",
" j += step\n",
"\n",
" return Spectrogram(spec_map, seg_length)"
],
"metadata": {
"id": "UXHxUl8dAHun"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"spectro = make_dct_spectrogram(wave, seg_length=1024)\n",
"for t, dct in sorted(spectro.spec_map.items()):\n",
" compress(dct, thresh=0.2)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "6XsJhhI4APca",
"outputId": "02d1f0d1-0f63-4f34-93d7-bd80198dc568"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"1018\t1024\t99.4140625\n",
"1016\t1024\t99.21875\n",
"1014\t1024\t99.0234375\n",
"1017\t1024\t99.31640625\n",
"1016\t1024\t99.21875\n",
"1017\t1024\t99.31640625\n",
"1016\t1024\t99.21875\n",
"1020\t1024\t99.609375\n",
"1014\t1024\t99.0234375\n",
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"1017\t1024\t99.31640625\n",
"1018\t1024\t99.4140625\n",
"1015\t1024\t99.12109375\n",
"1013\t1024\t98.92578125\n",
"794\t1024\t77.5390625\n",
"785\t1024\t76.66015625\n",
"955\t1024\t93.26171875\n",
"995\t1024\t97.16796875\n",
"992\t1024\t96.875\n",
"976\t1024\t95.3125\n",
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"802\t1024\t78.3203125\n",
"836\t1024\t81.640625\n",
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"882\t1024\t86.1328125\n",
"883\t1024\t86.23046875\n",
"891\t1024\t87.01171875\n",
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"902\t1024\t88.0859375\n",
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"900\t1024\t87.890625\n",
"894\t1024\t87.3046875\n",
"904\t1024\t88.28125\n",
"901\t1024\t87.98828125\n",
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"905\t1024\t88.37890625\n",
"905\t1024\t88.37890625\n",
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"859\t1024\t83.88671875\n",
"879\t1024\t85.83984375\n",
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"836\t1024\t81.640625\n",
"919\t1024\t89.74609375\n",
"913\t1024\t89.16015625\n",
"942\t1024\t91.9921875\n",
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"739\t1024\t72.16796875\n",
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"717\t1024\t70.01953125\n",
"716\t1024\t69.921875\n",
"676\t1024\t66.015625\n",
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"697\t1024\t68.06640625\n",
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"717\t1024\t70.01953125\n",
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"681\t1024\t66.50390625\n",
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"684\t1024\t66.796875\n",
"743\t1024\t72.55859375\n",
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"719\t1024\t70.21484375\n",
"708\t1024\t69.140625\n",
"725\t1024\t70.80078125\n",
"700\t1024\t68.359375\n",
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"716\t1024\t69.921875\n",
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"675\t1024\t65.91796875\n",
"747\t1024\t72.94921875\n",
"741\t1024\t72.36328125\n",
"730\t1024\t71.2890625\n",
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"721\t1024\t70.41015625\n",
"747\t1024\t72.94921875\n",
"725\t1024\t70.80078125\n",
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"723\t1024\t70.60546875\n",
"721\t1024\t70.41015625\n",
"734\t1024\t71.6796875\n",
"730\t1024\t71.2890625\n",
"718\t1024\t70.1171875\n",
"730\t1024\t71.2890625\n",
"723\t1024\t70.60546875\n",
"749\t1024\t73.14453125\n",
"727\t1024\t70.99609375\n",
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"739\t1024\t72.16796875\n",
"757\t1024\t73.92578125\n",
"741\t1024\t72.36328125\n",
"751\t1024\t73.33984375\n",
"775\t1024\t75.68359375\n",
"749\t1024\t73.14453125\n",
"768\t1024\t75.0\n",
"763\t1024\t74.51171875\n",
"771\t1024\t75.29296875\n",
"758\t1024\t74.0234375\n",
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"756\t1024\t73.828125\n",
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"743\t1024\t72.55859375\n",
"757\t1024\t73.92578125\n",
"779\t1024\t76.07421875\n",
"760\t1024\t74.21875\n",
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"739\t1024\t72.16796875\n",
"751\t1024\t73.33984375\n",
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"899\t1024\t87.79296875\n",
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"756\t1024\t73.828125\n",
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"755\t1024\t73.73046875\n",
"737\t1024\t71.97265625\n",
"766\t1024\t74.8046875\n",
"747\t1024\t72.94921875\n",
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"746\t1024\t72.8515625\n",
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"734\t1024\t71.6796875\n",
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"760\t1024\t74.21875\n",
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"757\t1024\t73.92578125\n",
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"734\t1024\t71.6796875\n",
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"757\t1024\t73.92578125\n",
"714\t1024\t69.7265625\n",
"740\t1024\t72.265625\n",
"738\t1024\t72.0703125\n",
"763\t1024\t74.51171875\n",
"766\t1024\t74.8046875\n",
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"746\t1024\t72.8515625\n",
"756\t1024\t73.828125\n",
"738\t1024\t72.0703125\n",
"757\t1024\t73.92578125\n",
"764\t1024\t74.609375\n",
"765\t1024\t74.70703125\n",
"762\t1024\t74.4140625\n",
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"773\t1024\t75.48828125\n",
"782\t1024\t76.3671875\n",
"773\t1024\t75.48828125\n",
"766\t1024\t74.8046875\n",
"755\t1024\t73.73046875\n",
"766\t1024\t74.8046875\n",
"772\t1024\t75.390625\n",
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"739\t1024\t72.16796875\n",
"717\t1024\t70.01953125\n",
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"739\t1024\t72.16796875\n",
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"710\t1024\t69.3359375\n",
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"720\t1024\t70.3125\n",
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"721\t1024\t70.41015625\n",
"734\t1024\t71.6796875\n",
"763\t1024\t74.51171875\n",
"747\t1024\t72.94921875\n",
"754\t1024\t73.6328125\n",
"755\t1024\t73.73046875\n",
"764\t1024\t74.609375\n",
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"768\t1024\t75.0\n",
"780\t1024\t76.171875\n",
"773\t1024\t75.48828125\n",
"764\t1024\t74.609375\n",
"775\t1024\t75.68359375\n",
"740\t1024\t72.265625\n",
"794\t1024\t77.5390625\n",
"796\t1024\t77.734375\n",
"769\t1024\t75.09765625\n",
"751\t1024\t73.33984375\n",
"782\t1024\t76.3671875\n",
"758\t1024\t74.0234375\n",
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"794\t1024\t77.5390625\n",
"784\t1024\t76.5625\n",
"788\t1024\t76.953125\n",
"773\t1024\t75.48828125\n",
"783\t1024\t76.46484375\n",
"784\t1024\t76.5625\n",
"785\t1024\t76.66015625\n",
"806\t1024\t78.7109375\n",
"807\t1024\t78.80859375\n",
"797\t1024\t77.83203125\n",
"785\t1024\t76.66015625\n",
"794\t1024\t77.5390625\n",
"766\t1024\t74.8046875\n",
"790\t1024\t77.1484375\n",
"746\t1024\t72.8515625\n",
"762\t1024\t74.4140625\n",
"813\t1024\t79.39453125\n",
"801\t1024\t78.22265625\n",
"782\t1024\t76.3671875\n",
"776\t1024\t75.78125\n",
"755\t1024\t73.73046875\n",
"780\t1024\t76.171875\n",
"784\t1024\t76.5625\n",
"805\t1024\t78.61328125\n",
"791\t1024\t77.24609375\n",
"803\t1024\t78.41796875\n",
"799\t1024\t78.02734375\n",
"795\t1024\t77.63671875\n",
"797\t1024\t77.83203125\n",
"806\t1024\t78.7109375\n",
"781\t1024\t76.26953125\n",
"795\t1024\t77.63671875\n",
"797\t1024\t77.83203125\n",
"893\t1024\t87.20703125\n",
"775\t1024\t75.68359375\n",
"787\t1024\t76.85546875\n",
"746\t1024\t72.8515625\n",
"767\t1024\t74.90234375\n",
"749\t1024\t73.14453125\n",
"749\t1024\t73.14453125\n",
"738\t1024\t72.0703125\n",
"736\t1024\t71.875\n",
"747\t1024\t72.94921875\n",
"760\t1024\t74.21875\n",
"737\t1024\t71.97265625\n",
"752\t1024\t73.4375\n",
"756\t1024\t73.828125\n",
"772\t1024\t75.390625\n",
"740\t1024\t72.265625\n",
"737\t1024\t71.97265625\n",
"766\t1024\t74.8046875\n",
"791\t1024\t77.24609375\n",
"765\t1024\t74.70703125\n",
"771\t1024\t75.29296875\n",
"786\t1024\t76.7578125\n",
"770\t1024\t75.1953125\n",
"761\t1024\t74.31640625\n",
"765\t1024\t74.70703125\n",
"756\t1024\t73.828125\n",
"758\t1024\t74.0234375\n",
"765\t1024\t74.70703125\n",
"785\t1024\t76.66015625\n",
"769\t1024\t75.09765625\n",
"781\t1024\t76.26953125\n",
"792\t1024\t77.34375\n",
"798\t1024\t77.9296875\n",
"809\t1024\t79.00390625\n",
"778\t1024\t75.9765625\n",
"782\t1024\t76.3671875\n",
"776\t1024\t75.78125\n",
"791\t1024\t77.24609375\n",
"794\t1024\t77.5390625\n",
"783\t1024\t76.46484375\n",
"771\t1024\t75.29296875\n",
"792\t1024\t77.34375\n",
"785\t1024\t76.66015625\n",
"812\t1024\t79.296875\n",
"809\t1024\t79.00390625\n",
"799\t1024\t78.02734375\n",
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"803\t1024\t78.41796875\n",
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"805\t1024\t78.61328125\n",
"803\t1024\t78.41796875\n",
"799\t1024\t78.02734375\n",
"802\t1024\t78.3203125\n",
"804\t1024\t78.515625\n",
"809\t1024\t79.00390625\n",
"784\t1024\t76.5625\n",
"791\t1024\t77.24609375\n",
"814\t1024\t79.4921875\n",
"788\t1024\t76.953125\n",
"816\t1024\t79.6875\n",
"810\t1024\t79.1015625\n",
"820\t1024\t80.078125\n",
"823\t1024\t80.37109375\n",
"813\t1024\t79.39453125\n",
"799\t1024\t78.02734375\n",
"807\t1024\t78.80859375\n",
"799\t1024\t78.02734375\n",
"789\t1024\t77.05078125\n",
"813\t1024\t79.39453125\n",
"819\t1024\t79.98046875\n",
"809\t1024\t79.00390625\n",
"784\t1024\t76.5625\n",
"809\t1024\t79.00390625\n",
"810\t1024\t79.1015625\n",
"785\t1024\t76.66015625\n",
"838\t1024\t81.8359375\n",
"821\t1024\t80.17578125\n",
"822\t1024\t80.2734375\n",
"800\t1024\t78.125\n",
"815\t1024\t79.58984375\n",
"827\t1024\t80.76171875\n",
"820\t1024\t80.078125\n",
"792\t1024\t77.34375\n",
"818\t1024\t79.8828125\n",
"813\t1024\t79.39453125\n",
"824\t1024\t80.46875\n",
"795\t1024\t77.63671875\n",
"788\t1024\t76.953125\n",
"796\t1024\t77.734375\n",
"802\t1024\t78.3203125\n",
"800\t1024\t78.125\n",
"796\t1024\t77.734375\n",
"823\t1024\t80.37109375\n",
"804\t1024\t78.515625\n",
"811\t1024\t79.19921875\n",
"808\t1024\t78.90625\n",
"815\t1024\t79.58984375\n",
"812\t1024\t79.296875\n",
"822\t1024\t80.2734375\n",
"793\t1024\t77.44140625\n",
"803\t1024\t78.41796875\n",
"806\t1024\t78.7109375\n",
"812\t1024\t79.296875\n",
"796\t1024\t77.734375\n",
"804\t1024\t78.515625\n",
"807\t1024\t78.80859375\n",
"821\t1024\t80.17578125\n",
"793\t1024\t77.44140625\n",
"799\t1024\t78.02734375\n",
"810\t1024\t79.1015625\n",
"818\t1024\t79.8828125\n",
"813\t1024\t79.39453125\n",
"825\t1024\t80.56640625\n",
"804\t1024\t78.515625\n",
"821\t1024\t80.17578125\n",
"809\t1024\t79.00390625\n",
"828\t1024\t80.859375\n",
"813\t1024\t79.39453125\n",
"838\t1024\t81.8359375\n",
"836\t1024\t81.640625\n",
"818\t1024\t79.8828125\n",
"808\t1024\t78.90625\n",
"819\t1024\t79.98046875\n",
"820\t1024\t80.078125\n",
"814\t1024\t79.4921875\n",
"901\t1024\t87.98828125\n",
"894\t1024\t87.3046875\n",
"888\t1024\t86.71875\n",
"780\t1024\t76.171875\n",
"773\t1024\t75.48828125\n",
"750\t1024\t73.2421875\n",
"750\t1024\t73.2421875\n",
"730\t1024\t71.2890625\n",
"761\t1024\t74.31640625\n",
"775\t1024\t75.68359375\n",
"782\t1024\t76.3671875\n",
"788\t1024\t76.953125\n",
"748\t1024\t73.046875\n",
"752\t1024\t73.4375\n",
"771\t1024\t75.29296875\n",
"746\t1024\t72.8515625\n",
"778\t1024\t75.9765625\n",
"777\t1024\t75.87890625\n",
"760\t1024\t74.21875\n",
"734\t1024\t71.6796875\n",
"711\t1024\t69.43359375\n",
"754\t1024\t73.6328125\n",
"745\t1024\t72.75390625\n",
"758\t1024\t74.0234375\n",
"744\t1024\t72.65625\n",
"755\t1024\t73.73046875\n",
"749\t1024\t73.14453125\n",
"723\t1024\t70.60546875\n",
"784\t1024\t76.5625\n",
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"758\t1024\t74.0234375\n",
"709\t1024\t69.23828125\n",
"769\t1024\t75.09765625\n",
"773\t1024\t75.48828125\n",
"769\t1024\t75.09765625\n",
"756\t1024\t73.828125\n",
"747\t1024\t72.94921875\n",
"787\t1024\t76.85546875\n",
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"749\t1024\t73.14453125\n",
"769\t1024\t75.09765625\n",
"748\t1024\t73.046875\n",
"761\t1024\t74.31640625\n",
"759\t1024\t74.12109375\n",
"775\t1024\t75.68359375\n",
"756\t1024\t73.828125\n",
"774\t1024\t75.5859375\n",
"776\t1024\t75.78125\n",
"760\t1024\t74.21875\n",
"783\t1024\t76.46484375\n",
"744\t1024\t72.65625\n",
"766\t1024\t74.8046875\n",
"761\t1024\t74.31640625\n",
"788\t1024\t76.953125\n",
"774\t1024\t75.5859375\n",
"753\t1024\t73.53515625\n",
"754\t1024\t73.6328125\n",
"765\t1024\t74.70703125\n",
"736\t1024\t71.875\n",
"782\t1024\t76.3671875\n",
"768\t1024\t75.0\n",
"778\t1024\t75.9765625\n",
"767\t1024\t74.90234375\n",
"774\t1024\t75.5859375\n",
"772\t1024\t75.390625\n",
"769\t1024\t75.09765625\n",
"774\t1024\t75.5859375\n",
"776\t1024\t75.78125\n",
"796\t1024\t77.734375\n",
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"977\t1024\t95.41015625\n",
"982\t1024\t95.8984375\n",
"980\t1024\t95.703125\n",
"980\t1024\t95.703125\n",
"981\t1024\t95.80078125\n",
"982\t1024\t95.8984375\n",
"981\t1024\t95.80078125\n",
"987\t1024\t96.38671875\n",
"982\t1024\t95.8984375\n",
"982\t1024\t95.8984375\n",
"977\t1024\t95.41015625\n",
"982\t1024\t95.8984375\n",
"986\t1024\t96.2890625\n",
"984\t1024\t96.09375\n",
"986\t1024\t96.2890625\n",
"987\t1024\t96.38671875\n",
"996\t1024\t97.265625\n",
"995\t1024\t97.16796875\n",
"997\t1024\t97.36328125\n",
"999\t1024\t97.55859375\n",
"1002\t1024\t97.8515625\n",
"999\t1024\t97.55859375\n",
"1004\t1024\t98.046875\n",
"1002\t1024\t97.8515625\n",
"999\t1024\t97.55859375\n",
"1000\t1024\t97.65625\n",
"1007\t1024\t98.33984375\n",
"1010\t1024\t98.6328125\n",
"1012\t1024\t98.828125\n",
"1004\t1024\t98.046875\n",
"1000\t1024\t97.65625\n",
"1008\t1024\t98.4375\n",
"1005\t1024\t98.14453125\n",
"1011\t1024\t98.73046875\n",
"1011\t1024\t98.73046875\n",
"1009\t1024\t98.53515625\n",
"1005\t1024\t98.14453125\n",
"1007\t1024\t98.33984375\n",
"1010\t1024\t98.6328125\n",
"1010\t1024\t98.6328125\n",
"1005\t1024\t98.14453125\n",
"1008\t1024\t98.4375\n",
"1012\t1024\t98.828125\n",
"1009\t1024\t98.53515625\n",
"1012\t1024\t98.828125\n",
"1013\t1024\t98.92578125\n",
"1010\t1024\t98.6328125\n",
"1012\t1024\t98.828125\n",
"1014\t1024\t99.0234375\n",
"1016\t1024\t99.21875\n",
"1010\t1024\t98.6328125\n",
"1014\t1024\t99.0234375\n",
"1015\t1024\t99.12109375\n",
"1012\t1024\t98.828125\n",
"1019\t1024\t99.51171875\n",
"1015\t1024\t99.12109375\n",
"1016\t1024\t99.21875\n",
"1019\t1024\t99.51171875\n",
"1019\t1024\t99.51171875\n",
"1016\t1024\t99.21875\n",
"1018\t1024\t99.4140625\n",
"1018\t1024\t99.4140625\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"wave2 = spectro.make_wave()\n",
"wave2.make_audio()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 76
},
"id": "_sslfWmjAVTm",
"outputId": "25cdae00-b925-4cc4-cbf0-3cb16285b5d8"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" \n",
" "
]
},
"metadata": {},
"execution_count": 21
}
]
},
{
"cell_type": "markdown",
"source": [
"Полученный после сжатия всех сегментов сигнал всё равно звучит примерно похоже на оригинал."
],
"metadata": {
"id": "7g7XO1ZyAb-h"
}
},
{
"cell_type": "markdown",
"source": [
"# **Упражнение 6.3**\n",
"\n",
"В репозитории этой книги есть блокнот Jupyter под названием `phase.ipynb` в котором исследуется влияние фазы на восприятие звука. Прочтите этот блокнот и \"погоняйте\" примеры. Выберите иной сегмент звука и повторите эксперименты. Можно ли найти некие общие соотношения в фазовой структуре звука и его восприятии?"
],
"metadata": {
"id": "iACF1Sp0BOim"
}
},
{
"cell_type": "markdown",
"source": [
"Будем использовать звук, который использовали ранее, то есть саксофон."
],
"metadata": {
"id": "4NVsXe9ECM48"
}
},
{
"cell_type": "code",
"source": [
"from thinkdsp import read_wave\n",
"\n",
"wave = read_wave('100475__iluppai__saxophone-weep.wav')\n",
"wave.make_audio()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 76
},
"id": "P21o9V8UCPlM",
"outputId": "db0113b4-728b-4900-93e0-6611d01b402c"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" \n",
" "
]
},
"metadata": {},
"execution_count": 22
}
]
},
{
"cell_type": "code",
"source": [
"segment = wave.segment(start=0.05, duration=0.9)"
],
"metadata": {
"id": "LU88OwcLCWEC"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"Вычислим оригинальный спектр."
],
"metadata": {
"id": "OBL76YgaDPyx"
}
},
{
"cell_type": "code",
"source": [
"def plot_angle(spectrum, thresh=1):\n",
" angles = spectrum.angles\n",
" angles[spectrum.amps < thresh] = np.nan\n",
" plt.plot(spectrum.fs, angles, 'x')\n",
" decorate(xlabel='Frequency (Hz)', \n",
" ylabel='Phase (radian)')"
],
"metadata": {
"id": "h_VkkFPGCnIe"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"def plot_three(spectrum, thresh=1):\n",
" plt.figure(figsize=(10, 4))\n",
" plt.subplot(1,3,1)\n",
" spectrum.plot()\n",
" plt.subplot(1,3,2)\n",
" plot_angle(spectrum, thresh=thresh)\n",
" plt.subplot(1,3,3)\n",
" wave = spectrum.make_wave()\n",
" wave.unbias()\n",
" wave.normalize()\n",
" wave.segment(duration=0.01).plot()\n",
" display(wave.make_audio())"
],
"metadata": {
"id": "ObWnDqIFCiFA"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"spectrum = segment.make_spectrum()\n",
"plot_three(spectrum, thresh=50)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 322
},
"id": "l3XEgiulCbLk",
"outputId": "f5895cb1-95e1-40d3-ce69-824fdb91fae4"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" \n",
" "
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Попробуем установить нулевые углы:"
],
"metadata": {
"id": "wuKogxtYDKUX"
}
},
{
"cell_type": "code",
"source": [
"def zero_angle(spectrum):\n",
" res = spectrum.copy()\n",
" res.hs = res.amps\n",
" return res"
],
"metadata": {
"id": "cdoy2Gk0C3-K"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"spectrum2 = zero_angle(spectrum)\n",
"plot_three(spectrum2, thresh=50)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 322
},
"id": "rjWtjvh_C2E4",
"outputId": "cfed1c3b-f1d0-4c7a-a00b-36634baba8ad"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" \n",
" "
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Попробуем поставить углы в 1 радиан:"
],
"metadata": {
"id": "VAMbH97PHsKy"
}
},
{
"cell_type": "code",
"source": [
"def rotate_angle(spectrum, offset):\n",
" res = spectrum.copy()\n",
" res.hs *= np.exp(1j * offset)\n",
" return res"
],
"metadata": {
"id": "nFSSqfwmDuRI"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"spectrum3 = rotate_angle(spectrum, 1)\n",
"plot_three(spectrum3, thresh=50)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 322
},
"id": "p2iCvPhRDjYh",
"outputId": "c042bc63-88c1-46a6-cf18-8291533e1139"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" \n",
" "
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Также попробуем поставить случайный размер угла:"
],
"metadata": {
"id": "XQe1_zXpEMar"
}
},
{
"cell_type": "code",
"source": [
"def random_angle(spectrum):\n",
" res = spectrum.copy()\n",
" angles = np.random.uniform(0, np.pi*2, len(spectrum))\n",
" res.hs *= np.exp(1j * angles)\n",
" return res"
],
"metadata": {
"id": "yiIQTc5qECFr"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"spectrum4 = random_angle(spectrum)\n",
"plot_three(spectrum4, thresh=50)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 322
},
"id": "3OM8yoqLEBS5",
"outputId": "1f3401c7-e64b-4d98-f744-77054f78d743"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" \n",
" "
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Для выбранного звука данный способ анализа чувствителен к фазовой структуре, однако наше ухо осуществляет что-то вроде автокорреляции."
],
"metadata": {
"id": "iCadot3TEuhU"
}
}
]
}